Respuesta :
The 3,572.1 m³ volume of the hexagon and the 19 m. length of the cars and 3-m connector, gives;
- Yes, two cars connected by a 3 meter connector can pass through the tunnel at the same time
How can the capacity of the tunnel be found?
From a similar question, we have;
Side length of the hexagon = 8.1 m
Perpendicular distance from the center to a side of the hexagon = 7 m.
Therefore;
Cross sectional area of the hexagon, A is found as follows;
A = 6 × 0.5 × 7 × 8.1 = 170.1
Length of the tunnel, D = 3572.1 ÷ 170.1 = 21
D = 21 meters
Length of two cars and a connector, L = 8 + 8 + 3 = 19
The tunnel length, D = 21 m. is longer than the length of two cars and the connector, L = 19 m.
Therefore;
- Two cars connected by a 3 meter connector can pass through the tunnel at the same time.
Learn more about the volume of a prism here;
https://brainly.com/question/8976947
